Question

Encontre a fração geratriz de: a) 1,41222... b) 0,3777...

a) 1271/900 b) 34/90
a) 1221/990 b) 37/99
a) 1771/99 b) 37/90
a) 1777/90 b) 34/99

Answer 1

resolução!

A )1,41222....

X = 1,412222.

100x = 141,2222

10000x = 14122,222

_____________________

10000x - 100x = 14122 - 141

9900x = 13981

X = 13981 / 9900 ÷ 11

X = 1271 / 900

resposta : 1271 / 900

B ) 0,37777....

X = 0,37777..

10x = 3,7777

100x = 37,7777

_________________

100x - 10x = 37 - 3

90x = 34

X = 34 / 90

resposta : 34 / 90